September is a month with fewer tourists and often lower prices if you are thinking of streching summer vacations. Ischia in the Gulf of Naples continues to enjoy summer like temperatures in September and it is still under the radar even if it is so close to Capri. Matteo Della Grazia, who owns the tour company Discover Your Italy, which offers a six-day tour of Naples and Ischia (from 3,225 euros, or about $3,590).